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Simplifying 0.1x + -0.5(40 + -1x) = 32 0.1x + (40 * -0.5 + -1x * -0.5) = 32 0.1x + (-20 + 0.5x) = 32 Reorder the terms: -20 + 0.1x + 0.5x = 32 Combine like terms: 0.1x + 0.5x = 0.6x -20 + 0.6x = 32 Solving -20 + 0.6x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 0.6x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + 0.6x = 32 + 20 0.6x = 32 + 20 Combine like terms: 32 + 20 = 52 0.6x = 52 Divide each side by '0.6'. x = 86.66666667 Simplifying x = 86.66666667
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